Download PDFOpen PDF in browser Switch back to the title and the abstract in Spanish On the Relation Between Condensed Matrix and Its DeterminantEasyChair Preprint no. 658911 pages•Date: September 13, 2021AbstractIn the present work, relations are established for the calculation of determinants, using an algebraic technique of Seismic Engineering called "Static Condensation", which is a process of reduction by blocks, of the order n of the stiffness matrix K_n. Through an inverse approach, the condensation process is applied (n-1) times until obtaining the maximum possible condensation K^c (1x1 matrix), reaching a relation between the determinant of K_n, the determinant of the K_(n-1) submatrix, and K^c. Finally, a relation is established between the determinant of K_n, the determinant of one of its simple intermediate condensates K_p^* and the simple main sub-condensates k_i^*. Keyphrases: determinante, Ingeniería Sísmica, Matriz Condensada, Reducción Estática de Guyan, Álgebra Lineal
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